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authorGravatar Guillaume Melquiond <guillaume.melquiond@inria.fr>2014-09-17 17:45:39 +0200
committerGravatar Guillaume Melquiond <guillaume.melquiond@inria.fr>2014-09-17 17:54:39 +0200
commit95c915ce89cc168ec34ab36797c78de94fcc0a18 (patch)
treea07639d54aeebdf0dd8f75f3ec0e4ccfc8e03163 /theories/Reals/Rtrigo_def.v
parent9060a941d8b7566220f6fb6a191ac2fd7eca7315 (diff)
Add some missing Proof statements.
Diffstat (limited to 'theories/Reals/Rtrigo_def.v')
-rw-r--r--theories/Reals/Rtrigo_def.v2
1 files changed, 2 insertions, 0 deletions
diff --git a/theories/Reals/Rtrigo_def.v b/theories/Reals/Rtrigo_def.v
index f3e690376..76d52efaa 100644
--- a/theories/Reals/Rtrigo_def.v
+++ b/theories/Reals/Rtrigo_def.v
@@ -221,6 +221,7 @@ Proof.
Qed.
Lemma cosn_no_R0 : forall n:nat, cos_n n <> 0.
+Proof.
intro; unfold cos_n; unfold Rdiv; apply prod_neq_R0.
apply pow_nonzero; discrR.
apply Rinv_neq_0_compat.
@@ -233,6 +234,7 @@ Definition cos_in (x l:R) : Prop :=
(**********)
Lemma exist_cos : forall x:R, { l:R | cos_in x l }.
+Proof.
intro; generalize (Alembert_C3 cos_n x cosn_no_R0 Alembert_cos).
unfold Pser, cos_in; trivial.
Qed.